A Very Simple Ordering System for All Things, Everywhere, Throughout All Time

By using a very simple logic, our rather elementary ordering system conceptually encapsulates everything, everywhere throughout the universe and for all of history throughout time (from the Planck Time to the present moment). It is uses multiplication by 2 or base-2 exponential notation starting with the five Planck base units to go to the largest possible measurements of each, all within 201+ notations.

Introduction

Since December 2011 a small group of high school students and a few of their teachers have been trying to figure out what to do with an all-encompassing but simple mathematical model. Findings to date are presented with the hope that the academic - scientific community can tell us how best to proceed with these charts of our universe.

History

The first title of the project in 2011 was A Big Board for our little universe, Cf. the Ref. [1]. That board, Cf. the Ref. [2], was 60" by 11" and it started with the Planck Length and went to the Observable Universe. The number of notations ranged from a low of 202, Cf. the Ref. [3], to a high of just under 210. A year later a desktop version of the chart was started; it was dubbed, Universe Table, Cf. the Ref. [4]. In December 2014 Planck Time, Cf. the Ref. [5], was added to the chart and it was determined that there are just over 201 notations based on the current estimates for the age of the universe. In February 2015, the other three Planck base units, Cf. the Ref. [6], were added. Teachers included three of the authors of this paper, Bruce Camber, Steve Curtis, and Cathy Boucvalt, plus a student, Bryce Estes. He represents three years of students, some who were seniors and others who were in the sixth grade when they were introduced to these charts.

The very first observation was that these charts are a highly efficient way to organize vast amounts of information. Because the charts seemed to be a good Science-Technology-Engineering-Mathematics (STEM) tool, we began to share them with other educators.

The charts raise many questions and often challenge commonsense logic about space and time:

First we wondered why couldn't we find some vestiges of these charts within our textbooks or someplace on the World Wide Web. Where was this information within the academic world? We had discovered the 1957 work of Kees Boeke using base-10. Base-2 is 3.3333+ times more granular and mimics life's natural processes. Then we asked, "Isn't each column of the chart a very basic continuity equation from a Planck base unit to the largest possible measurement of it?" Continuity. the bedrock of order, has been a primary first principle within our work.

The small numbers were impossibly small and the large numbers were impossibly large. We had to get comfortable with both extremes and it was exponential notation that helped to make these numbers more manageable. Yet, it has just taken time. It is a steep learning curve for our feelings or intuitions about the very nature of a number.

The human family dominates the middle of this chart yet the time epoch for humanity's existence is entirely within the 201+ notation. What is the correlation -- the working relation -- between the current time and the other notations? Are all notations concurrent, active and forever? Are these in the human-scale archetypal in some deep sense of the word?

When the chart is divided into thirds, the small-scale universe is extremely small. It goes from the Planck Length to about the size of the fermion. This particular view of the small-scale universe is virtually unknown yet it has a substantial amount of data waiting to be properly analyzed. We reached out to many of the finest scholars for their inputs. Everybody seemed puzzled. The human scale and large scale did not seem to challenge our simple logic until the time column was observed. Consider the figures at one second, Cf. the Ref. [7]. Note that the length is the distance light travels in a second. The figures in the other three columns are impossibly large.

Nobody seems to know what to do with these charts. So, to get some scrutiny, online articles, blogs and emails, Cf. the Ref. [8] were written. This is the first time an article about this project has appeared within a scientific journal.

We started the project by going inside simple geometries, particularly the tetrahedron and octahedron. We emerged with an outline for a base-2 geometry but it does not yet have any necessary applications. Yet, with dimensional analysis and scaling laws, the number of possible vertices becomes extremely large rather quickly, nevertheless, because it is contracting from known things within space and time, we concluded that these vertices must be shared by the entire universe. It seems to suggest something about homogeneity, isotropy and the very nature of symmetry and the symmetry of nature.

Concluding Questions Are these numbers important? Is this model trying to tell us something very new and rather special? We believe it is so we will continue writing blogs about our ideas, intuitions, conjectures, and sometimes rather-wild speculations until we learn why our simple logic has failed us.

We would be most interested to hear your evaluation.

References

1. Small Business School, “ An exploration of 101 steps from the smallest measurement, the
Planck length, to the human scale, and then 101 more steps out to the observable universe”. http://smallbusinessschool.org/page2870.html